To find: the values of x and y for a given parallelogram.
Answer to Problem 20WE
The value of x is
The value of y is
Explanation of Solution
Given information:
A diagram representing a parallelogram with its diagonals and measure of sides being given.
Formula used:
By theorem 5-3, the diagonals of a parallelogram divide themselves into two equal segments about their point of intersection.
Calculation:
Consider the figure given below.
Based on the Theorem 5-3, it can be said that the two segments of each diagonal are equal to one another. In the case of the given parallelogram, the values of diagonals are given and the theorem can be expressed as,
Based on the above two equations, the values of x and y can be calculated as follows.
Dividing both sides by 3, the value of x can be obtained as,
Similarly from the second equation, the value of y can be obtained as,
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